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Finding the Fourth Proportional to 3,687.84, 5,522.22 and 2,042.46

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Solution

The fourth proportional to 3,687.84, 5,522.22 and 2,042.46 is: 3,058.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.84 : 5,522.22 = 2,042.46 : x
  2. Step 2: Convert to fraction form
    3,687.84/5,522.22 = 2,042.46/x
  3. Step 3: Cross multiply
    3,687.84x = 5,522.22 × 2,042.46
  4. Step 4: Simplify right side
    3,687.84x = 11,278,913.46
  5. Step 5: Solve for x
    x = 11,278,913.46/3,687.84
  6. Step 6: Final answer
    x = 3,058.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.